Pith Number

pith:23BHHV6P

pith:2016:23BHHV6PWCJMFMD7UJRKZQQURI

not attested not anchored not stored refs pending

Methodology and Convergence Rates for Functional Time Series Regression

Tung Pham, Victor Panaretos

arxiv:1612.07197 v1 · 2016-12-21 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23BHHV6PWCJMFMD7UJRKZQQURI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:54:14.459594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c273d7cfb092c2b07fa262acc2148a05fa770094a13080b886412665d045f5

Aliases

arxiv: 1612.07197 · arxiv_version: 1612.07197v1 · doi: 10.48550/arxiv.1612.07197 · pith_short_12: 23BHHV6PWCJM · pith_short_16: 23BHHV6PWCJMFMD7 · pith_short_8: 23BHHV6P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/23BHHV6PWCJMFMD7UJRKZQQURI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d6c273d7cfb092c2b07fa262acc2148a05fa770094a13080b886412665d045f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "772547b9bbd76598c97797f7a407534ebc2965911e911041c72eca1f5bd183d5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-12-21T15:43:02Z",
    "title_canon_sha256": "1b305a359b8b1579fa73ec7487ad1c5269701f8a8752c13bd164b89f2b1499d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07197",
    "kind": "arxiv",
    "version": 1
  }
}